Stability of the μ-Camassa–Holm Peakons
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Engineering,Modeling and Simulation
Link
http://link.springer.com/content/pdf/10.1007/s00332-012-9141-6.pdf
Reference21 articles.
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2. Constantin, A.: On the Cauchy problem for the periodic Camassa–Holm equation. J. Differ. Equ. 141, 218–235 (1997)
3. Constantin, A.: On the blow-up of solutions of a periodic shallow water equation. J. Nonlinear Sci. 10, 391–399 (2000)
4. Constantin, A., Escher, J.: Wave breaking for nonlinear nonlocal shallow water equations. Acta Math. 181, 229–243 (1998)
5. Constantin, A., Escher, J.: On the blow-up rate and the blow-up set of breaking waves for a shallow water equation. Math. Z. 233, 75–91 (2000)
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1. Instability of H1-stable periodic peakons for the higher-order μ-Camassa-Holm equation;Journal of Mathematical Analysis and Applications;2024-03
2. Ill-posedness of the Cauchy problem for the $$\mu $$-Camassa–Holm-type equations;Journal of Evolution Equations;2023-09-30
3. Orbital stability of periodic peakons for the higher-order modified Camassa–Holm equation;Monatshefte für Mathematik;2023-09-26
4. Orbital stability of periodic peakons for a new higher-order μ-Camassa–Holm equation;Journal of Mathematical Physics;2023-03-01
5. Error estimates of the local discontinuous Galerkin methods for two-dimensional (μ)-Camassa–Holm equations;Journal of Computational and Applied Mathematics;2023-03
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